C Chegg study Guided Sc x a The Expert TAI Human x C Secure /common/TakeTu alAss

Question

C Chegg study Guided Sc x a The Expert TAI Human x C Secure /common/TakeTu alAssignment aspx Class Management Help Homework 13 Begin Date: 4/7/2017 10:00:00 AM Due Date: 4/21/2017 11:59:00 PM End Date: 4/22/2017 11:59:00 PM (10%) Problem 8: Two synchronized microwave sources, A and B, are emitting waves of wavelength 4.0 cm. Source A is located on the x-axis at x 0, source B can be moved along the x-axis, and a microwave receiver is fixed on the r-axis atx 99 cm. For each of the fo ns of source B etermine whether the waves from the sources wi wing pos reac e receiver in phase (constructive interference), out of phase (destructive interference), or with a phase difference of T/2 rad. Assignment Status Click here for A 17% Part (a) 8 cm. detailed view Grade S it/2 rad phase difference In phase out of phase Deduction Potential 100% Problem Status Submissions Attempts remaining: 3 0% per attempt) de ed view Submit Hints: Feedback: 5% deduction per feedback. 417% Part (b) x 6 cm. 417% Part (e) r 5 cm 4 17% Part (d) x -4 cm. 17% Part (e) r 3 cm. 417% Part (0 x 2 cm. 6:35 PM

Explanation / Answer

Let be the phase difference between the waves produced by A and B which reach at the receiver.

So, = (2/)x

where x is the path difference between the waves produced by A and B which reach at the receiver.

= wavelength of the wave = 4cm

Now, if = 2n, there will be constructive interference and the waves will reach the receiver in phase.

and if = (2n + 1), there will be constructive interference and the waves will reach the receiver in phase

where, n = 0, 1, 2, 3.....

a) Here x = 8cm = 2.(4cm) = 2

So = (2/)x = (2/)2 = 4 = 2n, where n = 2

So it's a constructive interference and the waves will reach in phase.

b) Here x = 6cm = 3(4cm/2) = 3/2

So   = (2/)x = (2/)3/2 = 2(3/2) = 3 = (2n+1), where n=1

So it's a destructive interference and the the waves will reach out of phase.

c) Here x = 5cm = 4cm + 4cm/4 = 5/4

= (2/)x =  (2/)(5/4) = 5/2 = 2 + /2

So, in this case the waves will reach with a phase difference of /2.

d) Here x = 4cm =

So = (2/)x =  (2/) = 2 = 2n, where n = 1

So it's a constructive interference and the waves will reach in phase.

This concludes the answers. Check the answer and let me know if it's correct. If you need anymore clarification or correction I will be happy to oblige....

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